A flux tube model for hadrons

Isgur, Nathan; Paton, Jack E.

doi:10.1016/0370-2693(83)91445-4

Cited by 190 publications

(114 citation statements)

References 5 publications

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“…In particular, Isgur and Paton objected to the use of perturbative gluons in constructing a hadron, and argued that nonperturbative degrees of freedom, such as in a string model, should be used [68]. Noting that the QCD lattice Hamiltonian also is not written in terms of perturbative gluons, Isgur and Paton built a simple model by truncating the Hamiltonian with a series of approximations [69,70]. In particular, the lattice degrees of freedom are quarks fields on lattice sites and gluonic 'link variables' U = exp(−iagA µ (x)) where represents the link (x,μ).…”

Section: Model Developmentmentioning

confidence: 99%

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Hybrid mesons

Meyer

Swanson

2015

Progress in Particle and Nuclear Physics

199

176

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A review of the theoretical and experimental status of hybrid hadrons is presented. The states π 1 (1400), π 1 (1600), and π 1 (2015) are thoroughly reviewed, along with experimental results from GAMS, VES, Obelix, COMPASS, KEK, CLEO, Crystal Barrel, CLAS, and BNL. Theoretical lattice results on the gluelump spectrum, adiabatic potentials, heavy and light hybrids, and transition matrix elements are discussed. These are compared with bag, string, flux tube, and constituent gluon models. Strong and electromagnetic decay models are described and compared to lattice gauge theory results. We conclude that while good evidence for the existence of a light isovector exotic meson exists, its confirmation as a hybrid meson awaits discovery of its iso-partners. We also conclude that lattice gauge theory rules out a number of hybrid models and provides a reference to judge the success of others.

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Section: Model Developmentmentioning

confidence: 99%

“…Furthermore, this may be a fluke due to the particular choice of the short distance cutoff of the π/R term employed in Ref. [69], [70].…”

Section: Model Comparisonmentioning

confidence: 99%

Hybrid mesons

Meyer

Swanson

2015

Progress in Particle and Nuclear Physics

199

176

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“…The other class of model treats the gluonic excitation as an excited state of a string or fluxtube, as motivated by the lattice description [3] of hybrid mesons with heavy quarks. A continuum version of this fluxtube model [13] has been used to give predictions for hybrid mesons containing light quarks. These levels are expected to be relatively heavy: about 2.1 GeV for the ss system.…”

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confidence: 99%

Hybrid mesons from quenched QCD

et al. 1997

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We use lattice methods to evaluate from first principles the spectrum of hybrid mesons produced by gluonic excitations in quenched QCD with quark masses near the strange quark mass. For the spin-exotic mesons with J P C = 1 −+ , 0 +− , and 2 +− which are not present in the quark model, we determine the lightest state to be 1 −+ with mass of 2.0(2) GeV.One of the goals of quantitative studies of QCD is to determine the masses and properties of states which are not allowed in the simple quark model because they contain gluonic excitations. The prototype for such a state is the glueball and accurate lattice studies [1,2] have been able to pinpoint the relevant mass range for experimental study of the scalar glueball as around 1.6 GeV. Another important area is the study of hybrid mesons which are qq mesons with gluonic excitation. Because the gluonic excitation can introduce angular momentum, the most clear cut signal for a hybrid meson is to search for J P C quantum numbers not allowed in the quark model. These include J P C = 1 −+ , 0 +− , and 2 +− . Again lattice QCD is capable, from first principles, of establishing the masses of these states.In full QCD, the quark pair creation and anihilation processes will lead to the mixing of glueballs with qq mesons and it is thus appropriate to establish the glueball spectrum with these processes turned off -the quenched approximation. This then acts as a guide for mixing studies. For hybrid mesons, however, the quenched approximation already allows mixing between qq mesons and hybrid mesons if their J P C quantum numbers are non-exotic. This will be quite difficult to untangle in lattice studies, so we focus instead on the exotic J P C cases. Any mixing for these exotic J P C states would have to be with qqqq mesons and such mixing is turned off in the quenched approximation. Thus, in the quenched approximation, we are able 1

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“…To begin with we present a flux tube model [9][10][11][12][13][14][15][16][17] for the pentaquark. We assume that a pentaquark is described by two diquarks and an s-quark which are connected with a junction as shown in Fig.…”

Section: A String Model For the Pentaquarkmentioning

confidence: 99%

“…To this end, we take up the two constants of motion, Eqs. (12) and (14), and the condition on the center of mass (15):…”

Section: Mass and Decay Width Of The Pentaquarkmentioning

confidence: 99%

Pentaquark in the flux tube model

Iwasaki

Takagi

2008

Phys. Rev. D

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We propose a model for pentaquarks in an excited state in the flux tube picture. The pentaquark is assumed to be composed of two diquarks and an antiquark connected by a color flux tube with a junction. If the pentaquark is rotating rapidly, it is polarized into two clusters: one is a diquark and the other is an antiquark plus another diquark. Excited energy of this quasilinear system is calculated with the use of the WKB approximation. It is predicted that there exist quasistable excited pentaquarks: 1690 MeV3=2 , 2000 MeV5=2 ÿ , 2250 MeV7=2 etc., which decay mainly through three-body modes.

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A flux tube model for hadrons

Cited by 190 publications

References 5 publications

Hybrid mesons

Hybrid mesons

Hybrid mesons from quenched QCD

Pentaquark in the flux tube model

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